Fractals in Linear Ordinary Differential Equations

Details Fractals in Linear Ordinary Differential Equations Fractals in Linear Ordinary Differential Equations

1997-07-04

arxiv.org/abs/chao-dyn/9707009v1

Nonlinear Sciences

Chaotic Dynamics

6 pages,Latex, submitted to Phys.Lett.A, email: dpd@nerist.ernet.in

Scientific paper

We prove the existence of fractal solutions to a class of linear ordinary
differential equations.This reveals the possibility of chaos in the very short
time limit of the evolution even of a linear one dimensional dynamical system.

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